2022 MPFG Problem19
Problem
Let 
be the semicircular arc defined by
![\[(x+1)^2 + (y-\frac{3}{2})^2 = \frac{1}{4} and x \leq -1.\]](http://latex.artofproblemsolving.com/9/6/5/96523ed2820abd0475f09931bd1abee7b8b2321b.png)
Let 
be the semicircular arc defined by
![\[(x-1)^2 + (y-\frac{3}{2})^2 = \frac{1}{4} and x \leq -1.\]](http://latex.artofproblemsolving.com/d/5/b/d5b8d189866ef54fff1cf929dd75ca897f0ac850.png)
Let 
be the locus of points 
such that is the intersection of two lines, one of the form 
where 
and the other of the form 
where 
. What is the area of ? Express your answer as a fraction in simplest form.
Because 
is a solution set of 
, which means that the 
coordinates are on the line of
